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Recall from (2.8), above, that Sigaba, as typically used in WWII, had a keyspace of size 248.4,which implies that an exhaustive key search has a work factor of 247.6. However, the Sigaba-encrypted POTUS-PRIME link between Roosevelt and Churchill used the full keyspace of more than 95 bits. It is ciirious that keyspaces of these sizes were chosen. From the designers perspective, there would be no incentive to have a keyspace that is larger than a known shortcut attack, since a larger keyspace entails more secret settings and consequently more chance for errors and miscommunication. In WWII, a work factor of 247.6 would certainly have been untouchable, particularly for tactical communications. Nevertheless, for the strategically important communication between Allied leaders, it would be reasonable t o

use a larger key size, provided that the larger key actually yields additional security. Based on this logic, it would seem likely that the designers of Sigaba believed that the cipher provided a full 95 bits of security. However, in this section, we have outlined an attack that requires much less than 95 bits of work. and it is possible to improve on the attack presented here: see [as]. In any case, it would be interesting to know more about the Sigaba attacks that were considered by Rowlett and Friedman, and their reasons for choosing the key sizes as they did.

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Configure how you want your album to work. We recommend deselecting the Downloading of option, which is selected by default. Use the Album viewable by pop-up menu to set your privacy settings for this gallery. To create a new login for this gallery, choose Edit Names and Passwords from this pop-up, and Aperture swaps the New MobileMe Gallery Album sheet for the Edit Names and Passwords sheet, as shown in Figure 8.26. Use the Add (+) and Remove ( ) buttons to add or remove users, double-click in the Name and Password columns to set those values, and click OK when finished to return to the New MobileMe Gallery Album sheet.

with the coordinates Cmn,Ckj G K2. With increasing value of ||c^ CjH2, (that is, neuron kj is further away from the winning neuron mn), hmn,kj > 0. The neighborhood can be defined as a square or hexagon. However, the smooth Gaussian kernel is mostly used: hmn,kj(t) = n ( t ) e 2-2 > (4.20)

In this chapter we considered three of the most famous pre-modern cipher machines It is striking that the vast majority of cipher machines of the World War I 1 era (and earlier) proved to be insecure, and most were shockingly weak, at least by modern standards As mentioned in the introduction to this chapter, this was due in part to a failure to appreciate the differences between machine systems and their predecessors, which consisted largely of codebooks One important difference is that the amount of data that was encrypted with a machine was typically far greater than that which could be processed using a codebook Although by modern standards, the quantity of data generated by these machines was miniscule, it was far greater than was possible using labor intensive manual systems As a result, the cryptanalysts had a.

relatively large amount of data to analyze, which allowed statistical weaknesses of a cipher to be exploited Of course, there are statistical attacks on codebook ciphers, and these were well understood The protection of a codebook relied first and foremost on ensuring the physical security of the codebook itself Secondarily, the use of additive sequences could extend the useful life of the codebook Whereas the security of a codebook depended primarily on the physical security of the book, the security of a machine system depends almost entirely on its statistical security, that is, it depends on the lack of any useful statistical information leaking to the attacker through the ciphertext This was not well understood during WWII and, in fact, much effort was expended trying to maintain the physical security of cipher machines, and comparatively little was done to probe for potential statistical weaknesses.

8.26 The Edit Names and Passwords sheet lets you add or remove users for your Web galleries. Note that the users in this list are for all your Web galleries, and not just the one you re currently creating.

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